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Finding the Fourth Proportional to 402,205.20, 603,388.80 and 117,895.20

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Solution

The fourth proportional to 402,205.20, 603,388.80 and 117,895.20 is: 176,866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,205.20 : 603,388.80 = 117,895.20 : x
  2. Step 2: Convert to fraction form
    402,205.20/603,388.80 = 117,895.20/x
  3. Step 3: Cross multiply
    402,205.20x = 603,388.80 × 117,895.20
  4. Step 4: Simplify right side
    402,205.20x = 71,136,643,253.76
  5. Step 5: Solve for x
    x = 71,136,643,253.76/402,205.20
  6. Step 6: Final answer
    x = 176,866.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.